Linear Programming Sensitivity Analysis Solutions

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a)  302 + 102 + 48 = 452 widgets

b)  102 Deluxe widgets

c)  Profit = $13,040 + ($5 x 102) = $13,550

d)  The optimal allocation may change, because the change in the objective coefficient is outside the range of optimality (20 < 21).

e)  Assembly time, because in the optimal solution Assembly time is a binding constraint (it has no slack), while Production time is not (it           has slack).

f)  Since an addition of 200 hours is within the range of feasibility:  (1,780.125 < 2,000 < 2,026.5) the profit will rise by 200 x 1.6667.  The         profit would be $13,373.33.

g)  Profit would be reduced by $500:  ((73 - 48) x -$20).  The profit would be $12,540.

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